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Finding the Fourth Proportional to 664.16, 916.49 and 415.41

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Solution

The fourth proportional to 664.16, 916.49 and 415.41 is: 573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.16 : 916.49 = 415.41 : x
  2. Step 2: Convert to fraction form
    664.16/916.49 = 415.41/x
  3. Step 3: Cross multiply
    664.16x = 916.49 × 415.41
  4. Step 4: Simplify right side
    664.16x = 380,717.03
  5. Step 5: Solve for x
    x = 380,717.03/664.16
  6. Step 6: Final answer
    x = 573.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.